诱导的L-双拓扑空间的相对配分离性  

Relative pairwise separation in induced L-bitopological spaces

作　　者：王小霞[1] 阮蒙蒙 马秋丽 Wang Xiaoxia;Ruan Mengmeng;Ma Qiuli(College of Mathematics&Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院

出　　处：《黑龙江科技大学学报》2019年第5期632-634,共3页Journal of Heilongjiang University of Science And Technology

基　　金：陕西省自然科学基础研究计划项目(2018JM1042)

摘　　要：将相对分离性引入L-双拓扑空间,研究诱导的L-双拓扑空间的相对配分离性。根据相对拓扑、分子远域等概念,采用分析和归纳的方法,在诱导的L-双拓扑空间中分别定义三类相对配分离性,即相对弱配T-1、T 0、次T 0分离性,相对配T-1、T 0、次T 0分离性,以及相对强配T 0、次T 0分离性等。得出了相对配T 0空间、相对配次T 0空间的等价判断条件,讨论了分明拓扑空间的相对弱T 0(T-1、次T 0)分离性与其拓扑生成的L-双拓扑空间相对弱配T 0(T-1、次T 0)分离性之间的关系,证明了相对配T 0(T-1、次T 0)分离性是L-好的推广。该研究对在L-双拓扑空间开展相关研究具有一定的参考。This paper introduces a research into the relative pairwise separation of the L-bitopological space by introducing the relative separation into the L-bitopological space.The study building on the relative topology and neighborhood and using the analytical and inductive methods involves developing the three definitions of the relative pairwise separation in induced L-bitopological space,such as relative weakly pairwise T i(i=-1,0)and secondary T 0 separation,relative pairwise T i(i=-1,0)and secondary T 0 separation,relative strong pairwise T 0 separation axioms and secondary T 0 separation;identifying the equivalent conditions of relative pairwise T 0 space and secondary T 0 space;investigating the relationship between the relative weakly-pairwise T i(i=-1,0)and secondary T 0 separation in bitopological space and these in induced L-bitopogical space;and ultimately proving the relative pairwise T i(i=-1,0)and secondary T 0 separation are proved L-Good extension.The research could provide a certain reference for the study in L-bitopological space.

关 键 词：L-双拓扑空间 相对配分离性 诱导的L-双拓扑空间 

分 类 号：O189[理学—数学]